137387964313600000

Names of 137387964313600000

• Cardinal: 137387964313600000 can be written as One hundred thirty-seven quadrillion, three hundred eighty-seven trillion, nine hundred sixty-four billion, three hundred thirteen million, six hundred thousand.

Scientific notation

• Scientific notation: 1.373879643136 × 10¹⁷

Factors of 137387964313600000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 141

Divisors of 137387964313600000

• Number of divisors d(n): 6912
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 103 104 110 112 121 125 128 130 140 143 154 160 169 175 176 182 196 200 206 208 220 224 242 245 250 256 260 275 280 286 308 320 325 338 350 352 364 385 392 400 412 416 440 448 455 484 490 500 512 515 520 539 550 560 572 605 616 625 637 640 650 676 700 704 715 721 728 770 784 800 824 832 845 847 875 880 896 910 968 980 1000 1001 1024 1030 1040 1078 1100 1120 1133 1144 1183 1210 1225 1232 1250 1274 1280 1300 1339 1352 1375 1400 1408 1430 1442 1456 1540 1568 1573 1600 1625 1648 1664 1690 1694 1750 1760 1792 1820 1859 1925 1936 1960 2000 2002 2048 2060 2080 2156 2197 2200 2240 2266 2275 2288 2366 2420 2450 2464 2500 2548 2560 2575 2600 2678 2695 2704 2750 2800 2816 2860 2884 2912 3025 3080 3125 3136 3146 3185 3200 3250 3296 3328 3380 3388 3500 3520 3575 3584 3605 3640 3718 3850 3872 3920 4000 4004 4096 4120 4160 4225 4235 4312 4375 4394 4400 4480 4532 4550 4576 4732 4840 4900 4928 5000 5005 5047 5096 5120 5150 5200 5356 5390 5408 5500 5600 5632 5665 5720 5768 5824 5915 5929 6050 6125 6160 6250 6272 6292 6370 6400 6500 6592 6656 6695 6760 6776 6875 7000 7007 7040 7150 7168 7210 7280 7436 7700 7744 7840 7865 7931 8000 8008 8125 8192 8240 8281 8320 8450 8470 8624 8750 8788 8800 8960 9064 9100 9152 9295 9373 9464 9625 9680 9800 9856 10000 10010 10094 10192 10240 10300 10400 10712 10780 10816 10985 11000 11011 11200 11264 11330 11375 11440 11536 11648 11830 11858 12100 12250 12320 12463 12500 12544 12584 12740 12800 12875 13000 13013 13184 13312 13390 13475 13520 13552 13750 14000 14014 14080 14300 14336 14420 14560 14729 14872 15125 15379 15400 15488 15680 15730 15862 15925 16000 16016 16250 16384 16480 16562 16640 16900 16940 17248 17407 17500 17576 17600 17875 17920 18025 18128 18200 18304 18590 18746 18928 19250 19360 19600 19712 20000 20020 20188 20384 20449 20480 20600 20800 21125 21175 21424 21560 21632 21875 21970 22000 22022 22400 22528 22660 22750 22880 23072 23296 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• Sum of all divisors σ(n): 480332901567355200
• Sum of proper divisors (its aliquot sum) s(n): 342944937253755200
• 137387964313600000 is an abundant number, because the sum of its proper divisors (342944937253755200) is greater than itself. Its abundance is 205556972940155200

Bases of 137387964313600000

• Binary: 111101000000110011010000000101001010100111000000000000000₂
• Hexadecimal: 0x1E819A029538000
• Base-36: 11KRYVHO74SG

Squares and roots of 137387964313600000

• 137387964313600000 squared (137387964313600000²) is 18875452738235027119144960000000000
• 137387964313600000 cubed (137387964313600000³) is 2593260027203677308094615979825299456000000000000000
• The square root of 137387964313600000 is 370658824.6805949175
• The cube root of 137387964313600000 is 515999.8351380603

Scales and comparisons

• 137,387,964,313,600,000 seconds is equal to 4,368,512,296 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,387,964,313,600,000 would take you about thirteen billion, one hundred five million, five hundred thirty-six thousand, eight hundred eighty-eight years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137387964313600000 cubic inches would be around 43000 feet tall.

Recreational maths with 137387964313600000

• 137387964313600000 backwards is 000006313469783731
• The number of decimal digits it has is: 18
• The sum of 137387964313600000's digits is 61
• More coming soon!